For discrete distribution, the co-efficient of kurtosis β₂ is –
2021
For discrete distribution, the co-efficient of kurtosis β₂ is –
- A.
Greater than 1
- B.
Less than 1
- C.
Equal to 1
- D.
Less than or equal to 1
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Correct answer: A
The coefficient of kurtosis β₂ is defined as the ratio of the fourth central moment to the square of the variance. A key theoretical property for any probability distribution is that β₂ ≥ 1. Although equality can occur in specific cases, the general behavior for discrete distributions aligns with values greater than 1. Consequently, this option correctly identifies the lower bound constraint of kurtosis.